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Finding the Fourth Proportional to 633.80, 874.32 and 413.12

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Solution

The fourth proportional to 633.80, 874.32 and 413.12 is: 569.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.80 : 874.32 = 413.12 : x
  2. Step 2: Convert to fraction form
    633.80/874.32 = 413.12/x
  3. Step 3: Cross multiply
    633.80x = 874.32 × 413.12
  4. Step 4: Simplify right side
    633.80x = 361,199.08
  5. Step 5: Solve for x
    x = 361,199.08/633.80
  6. Step 6: Final answer
    x = 569.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.